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Finding the Fourth Proportional to 65,690.48, 98,549.55 and 21,313.76

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Solution

The fourth proportional to 65,690.48, 98,549.55 and 21,313.76 is: 31,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690.48 : 98,549.55 = 21,313.76 : x
  2. Step 2: Convert to fraction form
    65,690.48/98,549.55 = 21,313.76/x
  3. Step 3: Cross multiply
    65,690.48x = 98,549.55 × 21,313.76
  4. Step 4: Simplify right side
    65,690.48x = 2,100,460,964.06
  5. Step 5: Solve for x
    x = 2,100,460,964.06/65,690.48
  6. Step 6: Final answer
    x = 31,975.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.